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tester [92]
3 years ago
12

Can anybody help me??

Mathematics
1 answer:
dybincka [34]3 years ago
5 0
<span>I would contact your instructor, because I think there may be a typo in the original problem. I worked it out and got x = -4 </span>The steps go like this:
1. Distribute the 3 to each of 1/3x and 1. This gives you <span>x + 3 + 4</span> on the left side. Simplify that to x + 7.
2. Distribute the -4 to each of x and 3. This gives you -1 - 4x - 12 on the right side. Simplify that to -13 - 4x. Now you have <span>x + 7 = -13 - 4x.</span>
3. Subtract 7 from both sides.
4. Add 4x to both sides. Now you have 5x = -20 (This is the step Antwon gets to)
5. Divide by 5. You get <span>x = -4
</span>

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You're uncle is having a new roof installed in his house. The roof is a square pyramid. The side length of the base of the roof
Kaylis [27]

Answer:

The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

V=\frac13 Bh

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                       =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is = \frac13 Bh

                                                   =\frac13 \times 784 \times h square feet.

According to the problem,

\frac13 \times 784 \times h= 18929.3333

\Rightarrow h=\frac{18929.3333\times 3}{28}

\Rightarrow h\approx 72.43 ft.

The height of the roof in his roof is 72.43 ft.

8 0
3 years ago
For `z_1 = 9"cis" (5pi)/(6)` and `z_2 = 3"cis" (pi)/(3)`, find `(z1)/(z2)` in rectangular form.
sammy [17]

Answer:

option D is correct, i.e. 3i

Step-by-step explanation:

Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)

So magnitudes are r₁ = 9, and r₂ = 3

And arguments are ∅₁ = 5π/6, and ∅₂ = π/3

We know the formula for division of complex number is given as follows:-

If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)

Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)

|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)

|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)

|Z₁ / Z₂| = 3 cis(3π/6)

|Z₁ / Z₂| = 3 cis(π/2)

|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)

|Z₁ / Z₂| = 3*(0) + 3i*(1)

|Z₁ / Z₂| = 0 + 3i

|Z₁ / Z₂| = 3i

Hence, option D is correct, i.e. 3i

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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